PPT-9-1 Exploring Quadratic Graphs

Hubarth Algebra Standard Form of a Quadratic Function A quadratic function is a function that can be written in the form where a b and c are real numbers and a 0 This form is called standard form of a. This PowerPoint . was adapted from . http://. www.purplemath.com/modules/quadform2.htm. and . http://. teachers.henrico.k12.va.us/math/hcpsalgebra2/Documents/6-4/2006_6_4.ppt. Looking Back…. In our previous lesson, we solved quadratic function by . Page 3. General equation of a quadratic:. Quadratic Formula:. Notice where the letters come from for the formula. We use the quadratic formula when something can not be factored. However, it also works for factorable quadratic equations as well.. KFUPM - Prep Year Math Program (c) 20013 All Right Reserved. . Quadratic Equations . . Solving . Quadratic Equation. . . The . Discriminant. . Equations . that Quadratic in Form . Essential Questions . and Quadratics review. Function, relation, domain, range, perfect square trinomial, difference of perfect squares, roots/zeroes, real and complex roots, extrema, minimum, maximum, y-intercept, line or Axis of symmetry, standard form, vertex form, intercept form, 1. Quadratics in the Era of CCSS-M. Faylesha. Porter. Regeta Slaughter. Nicole . Yakes. Welcome!. Who Are We?. Place a sticky dot on the histogram indicating the number of years you have been teaching 8. Standards 8-10. Graphs of Quadratic Functions . U- Shaped Graph . Vertical y=x. 2. or Horizontal x=y. 2. Positive Negative . Summary: The of a Quadratic Function is U shaped. . Positve. Find the roots:. 1) x. 2. – 64 = 0 . 2) 8x. 2. – 64x = 0. 3) x. 2. – 16x + 64 = 0. 1) Ensure the quadratic equation is set to zero.. 2) Factor the quadratic equation (GCF, perfect square binomial [DOTS], trinomial). Expanding. Brackets. Factorising. Expanding . Double . Brackets. Solving . Linear . Equations. Plotting graphs by. substitution into . equations. Solving . Quadratic. Equations. Solving . Quadratics. There are many uses of parabolas in real-world applications.. Graphs of Quadratic Functions. Plotting quadratic curves. If you remember a relation is a correspondence between two sets of numbers called the . Tammy Wallace. Varina High. What is a Quadratic Equation?. A . QUADRATIC EQUATION. is an equation in which the greatest power of any variable is 2. . The standard form of a quadratic equation is . General Equation. Y = ax². What if A was positive?. Test in your calculator. What if A Was negative?. Test in your calculator.. Y = ax². What if A was greater than 1?. Test in your calculator. What if A Was less than 1?. Solve each system of equations.. a = . 0, . b. = –5. . 1. . 2. . 3. . 2. a. – 6. b. = 30. 3. a. . b. = –5. 2. a. – 5. b. = 16. 4. a. – 2. b. = 8. a. . b. = 6. 9a 3b = 24. December 5. , 2016. Quadratic functions are polynomial equations that have an __________ in the equation and ____________ is the highest exponent of x. . The standard form of a quadratic equation is :. Steven J Miller, Williams College (sjm1@Williams.edu). 1. https://web.williams.edu/Mathematics/sjmiller/public_html/math/talks/talks.html. Goals. Learn how to solve polynomial equations and see applications of polynomials and ways to find their roots..